Primality proof for n = 100517:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=1933.html>1933 is prime.</a>
<br>b^((n-1)/1933)-1 mod n = 16847, which is a unit, inverse 34158.
<p>(1933) divides n-1.
<p>(1933)^2 > n.
<p>n is prime by Pocklington's theorem.